7.34 Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table: 1 2 3 4 5 6 8 p(x) .05 .10 .12 .30 .30 .11 .01 .01 a. Find the mean value of x (the mean number of systems sold). b. Find the variance and standard deviation of x. How would you interpret these values? c. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? d. What is the probability that the number of systems sold is more than 2 standard deviations from the mean? (Hint: See Example 7.13.)
7.34 Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in 1 month is given by the following table: 1 2 3 4 5 6 8 p(x) .05 .10 .12 .30 .30 .11 .01 .01 a. Find the mean value of x (the mean number of systems sold). b. Find the variance and standard deviation of x. How would you interpret these values? c. What is the probability that the number of systems sold is within 1 standard deviation of its mean value? d. What is the probability that the number of systems sold is more than 2 standard deviations from the mean? (Hint: See Example 7.13.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:7.34 Suppose that for a given computer salesperson, the
probability distribution of x = the number of systems
sold in 1 month is given by the following table:
1 2 3 4 5 6 7
.05 .10 .12 .30 .30 .11 .01 .01
8
p(x)
a. Find the mean value of x (the mean number of
systems sold).
b. Find the variance and standard deviation of x.
How would you interpret these values?
c. What is the probability that the number of
systems sold is within 1 standard deviation of its
mean value?
d. What is the probability that the number of
systems sold is more than 2 standard deviations
from the mean? (Hint: See Example 7.13.)
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